Structure of Approximate Solutions of Optimal Control Problems by Alexander J. Zaslavski

Author:Alexander J. Zaslavski
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(2.229)

Assume that

(2.230)

and that a trajectory-control pair

satisfies (2.220). By (2.230), (2.226), (2.228), (2.220), and the choice of [see (2.225)], there exists a strictly increasing sequence of real numbers , where p is a natural number, such that

(2.231)

(2.232)

Set

(2.233)

By induction we construct finite strictly increasing sequences of numbers

such that

(2.234)

(2.235)

such that the following two properties hold:(C1)For each integer i satisfying 1 ≤ i < k − 1,

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